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Finding the Third Proportional to 281,023.75 and 428,538.50

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Solution

The third proportional to 281,023.75 and 428,538.50 is: 653,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,023.75 : 428,538.50 = 428,538.50 : x
  2. Step 2: Convert to fraction form
    281,023.75/428,538.50 = 428,538.50/x
  3. Step 3: Cross multiply
    281,023.75x = 428,538.50 × 428,538.50
  4. Step 4: Simplify right side
    281,023.75x = 183,645,245,982.25
  5. Step 5: Solve for x
    x = 183,645,245,982.25/281,023.75
  6. Step 6: Final answer
    x = 653,486.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.